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Simplifying b2 + -20b + 384 = 0 Reorder the terms: 384 + -20b + b2 = 0 Solving 384 + -20b + b2 = 0 Solving for variable 'b'. Begin completing the square. Move the constant term to the right: Add '-384' to each side of the equation. 384 + -20b + -384 + b2 = 0 + -384 Reorder the terms: 384 + -384 + -20b + b2 = 0 + -384 Combine like terms: 384 + -384 = 0 0 + -20b + b2 = 0 + -384 -20b + b2 = 0 + -384 Combine like terms: 0 + -384 = -384 -20b + b2 = -384 The b term is -20b. Take half its coefficient (-10). Square it (100) and add it to both sides. Add '100' to each side of the equation. -20b + 100 + b2 = -384 + 100 Reorder the terms: 100 + -20b + b2 = -384 + 100 Combine like terms: -384 + 100 = -284 100 + -20b + b2 = -284 Factor a perfect square on the left side: (b + -10)(b + -10) = -284 Can't calculate square root of the right side. The solution to this equation could not be determined.
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